Math-Major

Course Detail

Math-Major

"YourCloudCampus" Mathematics offers Maths Major subject in which students will take fundamental Coursework in Calculus, Linear algebra, Probability, Statistics, Quadratics, Angles, Circle Theorem, Graphs, Equations, Trignometry, Volume & Surface Area, Linear Sequences, Vectors, Matrices, Percentages, Inequalities, Surds & Indices and Related Words problems. This platform provides Experienced and Well Reputed Qualified Teachers covering the students of  all over the World Mainly GCSE, IGCSE, AS & A levels, Australian Standard Curriculum of Multiple States, Key Stages 3 4 & 5 Students, FBISE for overseas Saudians and much more...

Key Contents Detailed Description:

Percents

  • Convert between percents, fractions and decimals
  • Solve percent equations
  • Percent word problems
  • Percent of change
  • Percent of change: word problems
  • Simple interest
  • Compound interest
  • Percent of a number: GST, discount and more
  • Find the percent: discount and mark-up
  • Multi-step problems with percents

Geometry

  •   Perimeter
  •   Area
  •   Area of compound figures
  •   Area between two shapes
  •   Interior angles of polygons
  •   Transversal of parallel lines
  •   Volume of cylinders
  •   Volume
  •   Surface area
  •   Congruent figures: side lengths and angle measures
  •   Similar figures: side lengths and angle measures
  •   Similar triangles and indirect measurement
  •   Dilations and scale factors
  •   Area and perimeter of similar figures
  •   Similar solids
  •   Volume and surface area of similar solids
  •   Perimeter, area and volume: changes in scale
  •   Pythagoras' theorem
  •   Pythagoras' theorem: word problems
  •   Converse of Pythagoras' theorem: is it a right triangle?
  •   Special right triangles

Trigonometry

  • Trigonometric ratios: sin, cos and tan
  •  Trigonometric ratios: csc, sec and cot
  •  Find trigonometric functions of special angles
  •  Find trigonometric functions using a calculator
  •  Inverses of trigonometric functions
  •  Trigonometric ratios: find a side length
  •  Trigonometric ratios: find an angle measure
  •  Solve a right triangle
  •  Trigonometric ratios in similar right triangles

Data and graphs

  • Interpret bar graphs, line graphs and histograms
  • Create bar graphs, line graphs and histograms
  • Interpret circle graphs
  • Interpret stem-and-leaf plots
  • Interpret box-and-whisker plots
  • Interpret a scatter plot
  • Scatter plots: line of best fit

Matrices

  • Matrix vocabulary
  • Matrix operation rules
  • Add and subtract matrices
  • Multiply a matrix by a scalar
  • Linear combinations of matrices
  • Multiply two matrices
  • Simplify matrix expressions
  • Properties of matrices
  • Solve matrix equations
  • Determinant of a matrix
  • Is a matrix invertible?
  • Inverse of a matrix
  • Identify inverse matrices
  • Solve matrix equations using inverses

Quadratic functions

  • Characteristics of quadratic functions
  • Complete a function table: quadratic functions
  • Transformations of quadratic functions
  • Find a quadratic function
  • Graph a quadratic function
  • Match quadratic functions and graphs
  • Solve a quadratic equation using square roots
  • Solve a quadratic equation using the zero product property
  • Solve a quadratic equation by factorising
  • Complete the square
  • Solve a quadratic equation using the quadratic formula
  • Using the discriminant

Introduction to derivatives

  • Average rate of change I
  • Average rate of change II
  • Find instantaneous rates of change
  • Velocity as a rate of change
  • Find values of derivatives using limits
  • Find the gradient of a tangent line using limits
  • Find equations of tangent lines using limits
  • Sum and difference rules
  • Power rule I
  • Power rule II
  • Find derivatives of polynomials

Derivative rules

  •  Sum and difference rules
  •  Product rule
  •  Quotient rule
  •  Power rule I
  •  Power rule II
  •  Chain rule
  •  Inverse function rule

Functions

  • Domain and range
  • Identify functions
  • Find the gradient of a linear function
  • Graph a linear function
  • Write the equation of a linear function
  • Linear functions over unit intervals
  • Complete a function table: absolute value functions
  • Graph an absolute value function
  • Evaluate functions
  • Find values using function graphs
  • Complete a table for a function graph
  • Add, subtract, multiply and divide functions
  • Composition of functions
  • Identify inverse functions
  • Find values of inverse functions from tables
  • Find values of inverse functions from graphs
  • Find inverse functions and relations

Probability

  •  Introduction to probability
  •  Calculate probabilities of events
  •  Combinations and permutations
  •  Find probabilities using combinations and permutations
  •  Find probabilities using two-way frequency tables
  •  Identify independent events
  •  Find conditional probabilities
  •  Independence and conditional probability
  •  Find conditional probabilities using two-way frequency tables
  •  Find probabilities using the addition rule

Statistics

  •  Identify biased samples
  •  Variance and standard deviation
  •  Identify an outlier
  •  Identify an outlier and describe the effect of removing it
  •  Outliers in scatter plots
  •  Match correlation coefficients to scatter plots
  •  Calculate correlation coefficients
  •  Find the equation of a regression line
  •  Interpret regression lines
  •  Analyse a regression line of a data set
  •  Analyse a regression line using statistics of a data set
  •  Find confidence intervals for population means
  •  Find confidence intervals for population proportions
  •  Interpret confidence intervals for population means

Two-dimensional vectors

  • Find the magnitude of a vector
  • Find the direction angle of a vector
  • Find the component form of a vector
  • Find the component form of a vector from its magnitude and direction angle
  • Find a unit vector
  • Add and subtract vectors
  • Multiply a vector by a scalar
  • Find the magnitude or direction of a vector scalar multiple
  • Find the magnitude and direction of a vector sum
  • Linear combinations of vectors
  • Graph a resultant vector using the triangle method
  • Graph a resultant vector using the parallelogram method

Three-dimensional vectors

  • Find the magnitude of a three-dimensional vector
  • Find the component form of a three-dimensional vector
  • Find a three-dimensional unit vector
  • Add and subtract three-dimensional vectors
  • Scalar multiples of three-dimensional vectors
  • Linear combinations of three-dimensional vectors

Get a Free Trial.

We are waiting for you , Get a free trial class today.

Latest Blogs

Cookies Policy!
We use cookies to improve user experience, and analyze website traffic. For these reasons, we may share your site usage data with our analytics partners. By clicking “Accept Cookies,” you consent to store on your device all the technologies described in our Privacy Policy and Terms and Conditions